Question

the sum of the square of two consecutive even number is 340 find the numbers

Answer 1

the square of two consecutive even no is
12 and 14
(12)^2 + (14)^2
144 + 196
340

Answer 2

Answer:

Let the required consecutive even numbers be x and (x+2) .

Then ,

x^2+ (x+2)^2 = 340

=> 2x^2 + 4x -336= 0

=> x^2 + 2x -168=0

=>x^2 + 14x - 1 2x - 168 =0

=>x (x+14) - 12 (x+14) =0

=>( x+14 )( x-12) = 0

=>x = - 14 or x = 12

=> x =12 ( rejecting x = -14 )

Therefore, the required numbers are 12 and 14 .

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